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  1. What is the difference between disjoint union and union?

    What is the difference between disjoint union and union? Ask Question Asked 9 years, 9 months ago Modified 9 years, 9 months ago

  2. Pairwise disjoint or disjoint? - Mathematics Stack Exchange

    Jun 24, 2017 · The term disjoint refers to a collection of subsets, it means that its subsets are disjoint. The term pairwise disjoint refers to a familly of collections of subsets. It not only …

  3. What does pairwise disjoint mean? - Mathematics Stack Exchange

    Mar 9, 2019 · Typically, pairwise disjoint means that no two sets in the collection have a member in common. The answer to your first question is no, in fact each pair of distinct subsets has a …

  4. What's the difference between MUTUALLY EXCLUSIVE and …

    Mar 7, 2018 · With that definition, disjoint sets are necessarily mutually exclusive, but mutually exclusive events aren't necessarily disjoint. Consider points in the square with each coordinate …

  5. linear algebra - Disjoint permutations? - Mathematics Stack …

    Jun 9, 2016 · Define the disjoint permutation. (I'm guessing it's referring to say when two permutations are disjoint?). Give an example of two permutations that are disjoint and two that …

  6. Why do we say ‘pairwise disjoint’, rather than ‘disjoint’?

    Mar 8, 2019 · A "disjoint union" is a union of pairwise disjoint sets; one does not say "pairwise disjoint union". To corroborate my point of view, here is a citation from Halmos:

  7. general topology - Confusion on pairwise disjoint and disjoint ...

    Feb 4, 2021 · The term disjoint may serve as a shortcut either for pairwise disjoint or collectionwise disjoint depending on the used convention (but obviously not both at the same …

  8. Any open subset of $\\Bbb R$ is a countable union of disjoint …

    Clearly, collection of open intervals is a base for the standard topology. Hence any open set in $\mathbb {R}$ can be written as countable union of open intervals. If any two of exploited …

  9. What are disjoint vector spaces? - Mathematics Stack Exchange

    I want to clarify what does represent disjoint vector space? I know that this terminology related to set is very easy, because disjoint set is for example given two set

  10. elementary set theory - How do you show that two sets are …

    Aug 28, 2016 · How do you show that two sets are disjoint? Ask Question Asked 9 years, 2 months ago Modified 9 years, 2 months ago